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Environment-Independent Decoherence Rate in Classically Chaotic Systems
Open accessAbstract
We study the decoherence of a one-particle system, whose classical correspondent is chaotic, when it evolves coupled to a weak quenched environment. This is done by analytical evaluation of the Loschmidt echo (i.e., the revival of a localized density excitation upon reversal of its time evolution), in the presence of the perturbation. We predict an exponential decay for the Loschmidt echo with a (decoherence) rate which is asymptotically given by the mean Lyapunov exponent of the classical system, and therefore independent of the perturbation strength, within a given range of strengths. Our results are consistent with recent experiments of polarization echoes in nuclear magnetic resonance and numerical simulations.
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Cites
DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651
Cited by
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Zurek, W. H. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.715 · Cited by 4,295
Dynamics of Loschmidt echoes and fidelity decay
Gorin, T., Prosen, T., Seligman, T. H., & Žnidarič, M. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.09.003 · Cited by 623
Scalable noise estimation with random unitary operators
Emerson, J., Alicki, R., & Życzkowski, K. (2005) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/7/10/021 · Cited by 502
Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
Silva, A. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.120603 · Cited by 355
Lyapunov Exponent and Out-of-Time-Ordered Correlator’s Growth Rate in a Chaotic System
Rozenbaum, E. B., Ganeshan, S., & Galitski, V. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.086801 · Cited by 316
Metadata
- Authors
- Jalabert, R. A., & Pastawski, H. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-03-19
- Volume
- 86
- Issue
- 12
- Pages
- 2490-2493
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2076797207
- Cited by
- 583
- References
- 1
- FWCI
- 19.27
- Type
- journal article
- Language
- en
- Open access
- green
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